Step-by-step explanation:
m/1 = ( 180 - 65 - 46 ) - 180
= 180 - 59 = 121
m/2 = 180 - 121 = 59
m/3 = ( 180 - 142 ) - 180
= 180 - 32 - 82
= 66
m/4 = 66
m/5 = 180 - m/2 - m/4
= 180 - 59 - 66
= 180 - 125 = 55
The sum of interior angles of triangles = 180°
analyze problem
perfect circle with diameter of 20
so, radius is 10
circle circumference=10*pi*r
31.4*2
62.8
The line g(x) is 3 units above the line f(x). k = 3.
_____
The y-intercept of g(x) is 5; the y-intercept of f(x) is 2. 5-2 = 3, the distance between the lines where they cross the y-axis.
Answer:
45.82
Step-by-step explanation:
Using formulas
Answer:
i. Cell phone cases
Airpods
ii. x + y = 20 .............. 1
10.98x + 27.98y = 355.60 .............. 2
iii. x = 12, and y = 8
Step-by-step explanation:
Amount of sale = $355.60
Cost of Cell phone cases = $10.98
Cost of Airpods = $27.98
Number of phone accessories sold = 20
1. The variables to be considered in the question are:
i. Cell phone cases
ii. Airpods
2. Let the number of cell phone cases bought be represented by x, and that of airpods be represented by y.
Thus,
x + y = 20 .............. 1
10.98x + 27.98y = 355.60 .............. 2
From equation 1,
x = 20 -y
substitute the value of x in equation 2
10.98(20 - y) + 27.98y = 355.60
219.6 -10.98y + 27.98y = 355.60
17y = 136.60
y = 
y = 8.0353
So that,
x = 20 -y
= 20 - 8.0353
x = 11.9647
Thus,
x = 12, and y = 8